bullshit.py

magic_numbers = [0,1,2,3,0.1,0.2,0.3,1.1,1.2,1.3,2.1,2.2,2.3,3.1,3.2,3.3]

results = dict()

for x in range(10):
	# multiply
	results[x] = set([round(x*m) for m in magic_numbers])
	results[x] |= set([int(x*m) for m in magic_numbers])

	# divide
	results[x] |= set([round(x/m) for m in magic_numbers[1:]])
	results[x] |= set([int(x/m) for m in magic_numbers[1:]])

	# subtract
	results[x] |= set([round(x-m) for m in magic_numbers])
	results[x] |= set([int(x-m) for m in magic_numbers])

	# add
	results[x] |= set([round(x+m) for m in magic_numbers])
	results[x] |= set([int(x+m) for m in magic_numbers])

	# modulo
	results[x] |= set([round(x % m) for m in magic_numbers[1:4]])
	results[x] |= set([int(x % m) for m in magic_numbers[1:4]])

print("Numbers that can follow a given digit.")
for x in range(10):
	print(x, sorted([r for r in results[x] if r < 10]))

print()
print("Numbers that cannot follow a given digit.")
for x in range(10):
	print(x, [d for d in range(10) if d not in [r for r in results[x] if r < 10]])


"""
Numbers that can follow a given digit.
0 [-3, -2, -1, 0, 1, 2, 3]
1 [-2, -1, 0, 1, 2, 3, 4, 5]
2 [-1, 0, 1, 2, 3, 4, 5, 6, 7]
3 [0, 1, 2, 3, 4, 5, 6, 7, 9]
4 [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
5 [0, 1, 2, 3, 4, 5, 6, 7, 8]
6 [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
7 [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
8 [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
9 [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]

Numbers that cannot follow a given digit.
0 [4, 5, 6, 7, 8, 9]
1 [6, 7, 8, 9]
2 [8, 9]
3 [8]
4 []
5 [9]
6 []
7 []
8 []
9 []
"""